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  • 标题:CONTINUOUS HOPFIELD NETWORK AND QUADRATIC PROGRAMMING FOR SOLVING THE BINARY CONSTRAINT SATISFACTION PROBLEMS
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  • 作者:KHALID HADDOUCH ; MOHAMED ETTAOUIL ; CHAKIR LOQMAN
  • 期刊名称:Journal of Theoretical and Applied Information Technology
  • 印刷版ISSN:1992-8645
  • 电子版ISSN:1817-3195
  • 出版年度:2013
  • 卷号:56
  • 期号:3
  • 出版社:Journal of Theoretical and Applied
  • 摘要:Many important computational problems may be formulated as constraint satisfaction problems (CSP). In this paper, we propose a new approach to solve the binary CSP problems using the continuous Hopfield networks (CHN). This approach is divided into three steps: the first concerns reducing the size of the CSP problems using arc consistency technique AC3. The second step involves modeling the filtered constraint satisfaction problems as 0-1 quadratic programming subject to linear constraints. The last step concerns applying the continuous Hopfield networks to solve the obtained 0-1 optimization model. Therefore, the mapping procedure and an appropriate parameter setting procedure about CSP problems are given in detail. Finally, some computational experiments solving the CSP problems are shown.
  • 关键词:Constraint Satisfaction Problems; Filtering Algorithms; Quadratic 0-1 Programming; Continuous Hopfield Networks; Energy Function.
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